Graphs For The Analysis Of Bipolar Fuzzy Information

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Graphs for the Analysis of Bipolar Fuzzy Information

Muhammad Akram,Musavarah Sarwar,Wieslaw A. Dudek
Graphs for the Analysis of Bipolar Fuzzy Information Book PDF

Author : Muhammad Akram,Musavarah Sarwar,Wieslaw A. Dudek
Publisher : Springer Nature
Page : 472 pages
File Size : 48,9 Mb
Release : 2020-11-02
Category : Mathematics
ISBN : 9789811587566

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Graphs for the Analysis of Bipolar Fuzzy Information by Muhammad Akram,Musavarah Sarwar,Wieslaw A. Dudek Pdf

This monograph discusses decision making methods under bipolar fuzzy graphical models with the aim of overcoming the lack of mathematical approach towards bipolar information—positive and negative. It investigates the properties of bipolar fuzzy graphs, their distance functions, and concept of their isomorphism. It presents certain notions, including irregular bipolar fuzzy graphs, domination in bipolar fuzzy graphs, bipolar fuzzy circuits, energy in bipolar fuzzy graphs, bipolar single-valued neutrosophic competition graphs, and bipolar neutrosophic graph structures. This book also presents the applications of mentioned concepts to real-world problems in areas of product manufacturing, international relations, psychology, global terrorism and more, making it valuable for researchers, computer scientists, social scientists and alike.

Fuzzy Graph Theory

Sunil Mathew,John N. Mordeson,Davender S. Malik
Fuzzy Graph Theory Book PDF

Author : Sunil Mathew,John N. Mordeson,Davender S. Malik
Publisher : Springer
Page : 320 pages
File Size : 54,9 Mb
Release : 2017-12-30
Category : Technology & Engineering
ISBN : 9783319714073

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Fuzzy Graph Theory by Sunil Mathew,John N. Mordeson,Davender S. Malik Pdf

This book provides a timely overview of fuzzy graph theory, laying the foundation for future applications in a broad range of areas. It introduces readers to fundamental theories, such as Craine’s work on fuzzy interval graphs, fuzzy analogs of Marczewski’s theorem, and the Gilmore and Hoffman characterization. It also introduces them to the Fulkerson and Gross characterization and Menger’s theorem, the applications of which will be discussed in a forthcoming book by the same authors. This book also discusses in detail important concepts such as connectivity, distance and saturation in fuzzy graphs. Thanks to the good balance between the basics of fuzzy graph theory and new findings obtained by the authors, the book offers an excellent reference guide for advanced undergraduate and graduate students in mathematics, engineering and computer science, and an inspiring read for all researchers interested in new developments in fuzzy logic and applied mathematics.

Multi-criteria Decision Making Methods with Bipolar Fuzzy Sets

Muhammad Akram,Shumaiza,José Carlos Rodríguez Alcantud
Multi criteria Decision Making Methods with Bipolar Fuzzy Sets Book PDF

Author : Muhammad Akram,Shumaiza,José Carlos Rodríguez Alcantud
Publisher : Springer Nature
Page : 232 pages
File Size : 46,6 Mb
Release : 2023-05-21
Category : Business & Economics
ISBN : 9789819905690

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Multi-criteria Decision Making Methods with Bipolar Fuzzy Sets by Muhammad Akram,Shumaiza,José Carlos Rodríguez Alcantud Pdf

This monograph discusses the theoretical and practical development of multicriteria decision making (MCDM). The main purpose of MCDM is the construction of systematized strategies for the "optimisation" of feasible options, as well as the justification of why some alternatives can be declared "optimal". However, at time, we must make decisions in an uncertain environment and such inconvenience gives rise to a much more elaborate scenario. This book highlights models where this lack of certainty can be flexibly fitted in and goes on to explore valuable strategies for making decisions under a multiplicity of criteria. Methods discussed include bipolar fuzzy TOPSIS method, bipolar fuzzy ELECTRE-I method, bipolar fuzzy ELECTRE-II method, bipolar fuzzy VIKOR method, bipolar fuzzy PROMETHEE method, and two-tuple linguistic bipolar fuzzy Heronian mean operators. This book is a valuable resource for researchers, computer scientists, and social scientists alike.

Novel applications of bipolar single-valued neutrosophic competition graphs

Muhammad Akram,Maryam Nasir,K. P. Shum
Novel applications of bipolar single valued neutrosophic competition graphs Book PDF

Author : Muhammad Akram,Maryam Nasir,K. P. Shum
Publisher : Infinite Study
Page : 32 pages
File Size : 52,5 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 8210379456XXX

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Novel applications of bipolar single-valued neutrosophic competition graphs by Muhammad Akram,Maryam Nasir,K. P. Shum Pdf

Bipolar single-valued neutrosophic models are the generalization of bipolar fuzzy models. We rst introduce the concept of bipolar single-valued neutrosophic competition graphs. We then, discuss some important propositions related to bipolar single-valued neutrosophic competition graphs.

m−Polar Fuzzy Graphs

Muhammad Akram
m Polar Fuzzy Graphs Book PDF

Author : Muhammad Akram
Publisher : Springer
Page : 296 pages
File Size : 53,8 Mb
Release : 2018-11-13
Category : Technology & Engineering
ISBN : 9783030037512

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m−Polar Fuzzy Graphs by Muhammad Akram Pdf

This book provides readers with an introduction to m-polar fuzzy graphs and m-polar fuzzy hypergraphs, covering both theories and applications. A special emphasis is given to m-polar fuzzy graphs at the aim of filling a gap in the literature, namely the absence of a mathematical approach to analyze multi-index, multipolar, and multi-attribute data. The book describes metrics and labeling in m-polar graphs, m-polar fuzzy matroids. It also discusses in detail important applications in decision-making problems and imaging processing. The book is expected to stimulate the curiosity of mathematics, computer scientists, and social scientists alike, and to provide both students and researchers with the necessary knowledge to understand and apply m−polar fuzzy graph theory.

On Bipolar Single Valued Neutrosophic Graphs

SAID BROUMI ,MOHAMED TALEA,ASSIA BAKALI,FLORENTIN SMARANDACHE
On Bipolar Single Valued Neutrosophic Graphs Book PDF

Author : SAID BROUMI ,MOHAMED TALEA,ASSIA BAKALI,FLORENTIN SMARANDACHE
Publisher : Infinite Study
Page : 19 pages
File Size : 43,6 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 8210379456XXX

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On Bipolar Single Valued Neutrosophic Graphs by SAID BROUMI ,MOHAMED TALEA,ASSIA BAKALI,FLORENTIN SMARANDACHE Pdf

In this article, we combine the concept of bipolar neutrosophic set and graph theory. We introduce the notions of bipolar single valued neutrosophic graphs, strong bipolar single valued neutrosophic graphs, complete bipolar single valued neutrosophic graphs, regular bipolar single valued neutrosophic graphs and investigate some of their related properties.

Modern Trends in Fuzzy Graph Theory

Madhumangal Pal,Sovan Samanta,Ganesh Ghorai
Modern Trends in Fuzzy Graph Theory Book PDF

Author : Madhumangal Pal,Sovan Samanta,Ganesh Ghorai
Publisher : Springer Nature
Page : 323 pages
File Size : 48,7 Mb
Release : 2020-11-02
Category : Mathematics
ISBN : 9789811588037

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Modern Trends in Fuzzy Graph Theory by Madhumangal Pal,Sovan Samanta,Ganesh Ghorai Pdf

This book provides an extensive set of tools for applying fuzzy mathematics and graph theory to real-life problems. Balancing the basics and latest developments in fuzzy graph theory, this book starts with existing fundamental theories such as connectivity, isomorphism, products of fuzzy graphs, and different types of paths and arcs in fuzzy graphs to focus on advanced concepts such as planarity in fuzzy graphs, fuzzy competition graphs, fuzzy threshold graphs, fuzzy tolerance graphs, fuzzy trees, coloring in fuzzy graphs, bipolar fuzzy graphs, intuitionistic fuzzy graphs, m-polar fuzzy graphs, applications of fuzzy graphs, and more. Each chapter includes a number of key representative applications of the discussed concept. An authoritative, self-contained, and inspiring read on the theory and modern applications of fuzzy graphs, this book is of value to advanced undergraduate and graduate students of mathematics, engineering, and computer science, as well as researchers interested in new developments in fuzzy logic and applied mathematics.

Fuzzy Graphs and Fuzzy Hypergraphs

John N. Mordeson,Premchand S. Nair
Fuzzy Graphs and Fuzzy Hypergraphs Book PDF

Author : John N. Mordeson,Premchand S. Nair
Publisher : Physica
Page : 256 pages
File Size : 43,9 Mb
Release : 2012-11-08
Category : Mathematics
ISBN : 9783790818543

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Fuzzy Graphs and Fuzzy Hypergraphs by John N. Mordeson,Premchand S. Nair Pdf

In the course of fuzzy technological development, fuzzy graph theory was identified quite early on for its importance in making things work. Two very important and useful concepts are those of granularity and of nonlinear ap proximations. The concept of granularity has evolved as a cornerstone of Lotfi A.Zadeh's theory of perception, while the concept of nonlinear approx imation is the driving force behind the success of the consumer electronics products manufacturing. It is fair to say fuzzy graph theory paved the way for engineers to build many rule-based expert systems. In the open literature, there are many papers written on the subject of fuzzy graph theory. However, there are relatively books available on the very same topic. Professors' Mordeson and Nair have made a real contribution in putting together a very com prehensive book on fuzzy graphs and fuzzy hypergraphs. In particular, the discussion on hypergraphs certainly is an innovative idea. For an experienced engineer who has spent a great deal of time in the lab oratory, it is usually a good idea to revisit the theory. Professors Mordeson and Nair have created such a volume which enables engineers and design ers to benefit from referencing in one place. In addition, this volume is a testament to the numerous contributions Professor John N. Mordeson and his associates have made to the mathematical studies in so many different topics of fuzzy mathematics.

Application of Bipolar Neutrosophic sets to Incidence Graphs

Muhammad Akram,Nabeela Ishfaq ,Florentin Smarandache, Said Broumi
Application of Bipolar Neutrosophic sets to Incidence Graphs Book PDF

Author : Muhammad Akram,Nabeela Ishfaq ,Florentin Smarandache, Said Broumi
Publisher : Infinite Study
Page : 21 pages
File Size : 46,9 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 8210379456XXX

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Application of Bipolar Neutrosophic sets to Incidence Graphs by Muhammad Akram,Nabeela Ishfaq ,Florentin Smarandache, Said Broumi Pdf

In this research paper, we apply the idea of bipolar neutrosophic sets to incidence graphs. We present some notions, including bipolar neutrosophic incidence graphs, bipolar neutrosophic incidence cycle and bipolar neutrosophic incidence tree. We define strong path, strength and incidence strength of strongest path in bipolar neutrosophic incidence graphs. We investigate some properties of bipolar neutrosophic incidence graphs. We also describe an application of bipolar neutrosophic incidence graphs.

Bipolar Neutrosophic Graph Structures

Muhammad Akram , Muzzamal Sitara
Bipolar Neutrosophic Graph Structures Book PDF

Author : Muhammad Akram , Muzzamal Sitara
Publisher : Infinite Study
Page : 22 pages
File Size : 43,6 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 8210379456XXX

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Bipolar Neutrosophic Graph Structures by Muhammad Akram , Muzzamal Sitara Pdf

In this research study, we introduce the concept of bipolar single-valued neutrosophic graph structures. We discuss certain notions of bipolar single-valued neutrosophic graph structures with examples. We present some methods of construction of bipolar single-valued neutrosophic graph structures. We also investigate some of their prosperities.

Certain Properties of Bipolar Neutrosophic Graphs

Muhammad Akram,Saba Siddique
Certain Properties of Bipolar Neutrosophic Graphs Book PDF

Author : Muhammad Akram,Saba Siddique
Publisher : Infinite Study
Page : 26 pages
File Size : 44,8 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 8210379456XXX

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Certain Properties of Bipolar Neutrosophic Graphs by Muhammad Akram,Saba Siddique Pdf

In this paper, we discuss spacial types of bipolar neutrosophic graphs, including edge irregular bipolar neutrosophic graphs and totally edge irregular bipolar neutrosophic graphs. We illustrate these types by several examples and investigate some of their interesting properties.

Neutrosophic Operational Research

Florentin Smarandache,Mohamed Abdel-Basset
Neutrosophic Operational Research Book PDF

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Springer Nature
Page : 628 pages
File Size : 47,9 Mb
Release : 2021-09-09
Category : Business & Economics
ISBN : 9783030571979

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Neutrosophic Operational Research by Florentin Smarandache,Mohamed Abdel-Basset Pdf

This book addresses new concepts, methods, algorithms, modeling, and applications of green supply chain, inventory control problems, assignment problems, transportation problem, linear problems and new information related to optimization for the topic from the theoretical and applied viewpoints of neutrosophic sets and logic. The book is an innovatory of new tools and procedures, such as: Neutrosophic Statistical Tests and Dependent State Samplings, Neutrosophic Probabilistic Expert Systems, Neutrosophic HyperSoft Set, Quadripartitioned Neutrosophic Cross-Entropy, Octagonal and Spherical and Cubic Neutrosophic Numbers used in machine learning. It highlights the process of neutrosofication {which means to split the universe into three parts, two opposite ones (Truth and Falsehood), and an Indeterminate or neutral one (I) in between them}. It explains Three-Ways Decision, how the universe set is split into three different distinct areas, in regard to the decision process, representing: Acceptance, Noncommitment, and Rejection, respectively. The Three-Way Decision is used in the Neutrosophic Linguistic Rough Set, which has never been done before.

Fuzzy Mathematical Analysis and Advances in Computational Mathematics

S. R. Kannan,Mark Last,Tzung-Pei Hong,Chun-Hao Chen
Fuzzy Mathematical Analysis and Advances in Computational Mathematics Book PDF

Author : S. R. Kannan,Mark Last,Tzung-Pei Hong,Chun-Hao Chen
Publisher : Springer Nature
Page : 273 pages
File Size : 48,5 Mb
Release : 2022-04-06
Category : Technology & Engineering
ISBN : 9789811904714

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Fuzzy Mathematical Analysis and Advances in Computational Mathematics by S. R. Kannan,Mark Last,Tzung-Pei Hong,Chun-Hao Chen Pdf

The edited volume includes papers in the fields of fuzzy mathematical analysis and advances in computational mathematics. The fields of fuzzy mathematical analysis and advances in computational mathematics can provide valuable solutions to complex problems. They have been applied in multiple areas such as high dimensional data analysis, medical diagnosis, computer vision, hand-written character recognition, pattern recognition, machine intelligence, weather forecasting, network optimization, VLSI design, etc. The volume covers ongoing research in fuzzy and computational mathematical analysis and brings forward its recent applications to important real-world problems in various fields. The book includes selected high-quality papers from the International Conference on Fuzzy Mathematical Analysis and Advances in Computational Mathematics (FMAACM 2020).

Neutrosophic Sets and Systems, Book Series, Vol. 27, 2019

Florentin Smarandache ,Mohamed Abdel-Basset
Neutrosophic Sets and Systems Book Series Vol 27 2019 Book PDF

Author : Florentin Smarandache ,Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 252 pages
File Size : 43,6 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, Book Series, Vol. 27, 2019 by Florentin Smarandache ,Mohamed Abdel-Basset Pdf

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

A Study on Neutrosophic Cubic Graphs with Real Life Applications in Industries

Muhammad Gulistan,Naveed Yaqoob,Zunaira Rashid,Florentin Smarandache,Hafiz Abdul Wahab
A Study on Neutrosophic Cubic Graphs with Real Life Applications in Industries Book PDF

Author : Muhammad Gulistan,Naveed Yaqoob,Zunaira Rashid,Florentin Smarandache,Hafiz Abdul Wahab
Publisher : Infinite Study
Page : 22 pages
File Size : 53,9 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 8210379456XXX

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A Study on Neutrosophic Cubic Graphs with Real Life Applications in Industries by Muhammad Gulistan,Naveed Yaqoob,Zunaira Rashid,Florentin Smarandache,Hafiz Abdul Wahab Pdf

Neutrosophic cubic sets are the more generalized tool by which one can handle imprecise information in a more effective way as compared to fuzzy sets and all other versions of fuzzy sets.